[en] Power system dynamic simulations are crucial for the operation of electric power systems as they provide important information on the dynamic evolution of the system after an occurring disturbance. This paper proposes a robust, accurate and efficient parallel algorithm based on the Schur complement domain decomposition method. The algorithm provides numerical and computational acceleration of the procedure. Based on the shared-memory parallel programming model, a parallel implementation of the proposed algorithm is presented. The implementation is general, portable and scalable on inexpensive, shared-memory, multi-core machines. Two realistic test systems, a medium-scale and a large-scale, are used for performance evaluation of the proposed method.
Electrical & electronics engineering
Author, co-author :
Aristidou, Petros ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Van Cutsem, Thierry ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Dynamic Simulation of Large-scale Power Systems Using a Parallel Schur-complement-based Decomposition Method
Publication date :
Journal title :
IEEE Transactions on Parallel and Distributed Systems
Institute of Electrical and Electronics Engineers, United States
D. Koester, S. Ranka, and G. Fox, "Power Systems Transient StabilityVA Grand Computing Challenge," Northeast Parallel Architectures Center, Syracuse, NY, USA, Tech. Rep. SCCS 549, 1992.
P. Kundur, Power System Stability and Control. New York, NY, USA: McGraw-hill, 1994.
D. Fabozzi, A. Chieh, B. Haut, and T. Van Cutsem, "Accelerated and Localized Newton Schemes for Faster Dynamic Simulation of Large Power Systems," IEEE Trans. Power Syst., vol. 28, no. 4, pp. 4936-4947, Nov. 2013.
B. Wohlmuth, Discretization Methods and Iterative Solvers Based on Domain Decomposition. Berlin Heidelberg: Springer-Verlag, 2001.
A. Toselli and O. Widlund, Domain Decomposition Methods-Algorithms and Theory. Berlin, Germany: Springer-Verlag, 2005.
G. Kron, Diakoptics: The Piecewise Solution of Large-Scale Systems. London, U.K.: MacDonald, 1963.
M. Ilic'-Spong, M.L. Crow, and M.A. Pai, "Transient Stability Simulation by Waveform Relaxation Methods," IEEE Trans. Power Syst., vol. 2, no. 4, pp. 943-949, Nov. 1987.
M. La Scala, A. Bose, D. Tylavsky, and J. Chai, "A Highly Parallel Method for Transient Stability Analysis," IEEE Trans. Power Syst., vol. 5, no. 4, pp. 1439-1446, Nov. 1990.
D. Guibert and D. Tromeur-Dervout, "A Schur Complement Method for DAE/ODE Systems in Multi-Domain Mechanical Design Domain Decomposition Methods in Science and Engineering XVII. Berlin, Germany: Springer-Verlag, 2008, pp. 535-541.
E. Lelarasmee, A. Ruehli, and A. Sangiovanni-Vincentelli, "The Waveform Relaxation Method for Time-Domain Analysis of Large Scale Integrated Circuits," IEEE Trans. Comput.-Aided Design Integr. Circuits Syst., vol. 1, no. 3, pp. 131-145, July 1982.
Y. Saad, Iterative Methods for Sparse Linear Systems, 2nd ed., Philadelphia, PA, USA: Society for Industrial and Applied Mathematics, 2003.
B. Stott, "Power System Dynamic Response Calculations," Proc. IEEE, vol. 67, no. 2, pp. 219-241, Feb. 1979.
D. Tylavsky, A. Bose, F. Alvarado, R. Betancourt, K. Clements, G. Heydt, G. Huang, M. Ilic, M. La Scala, and M. Pai, "Parallel Processing in Power Systems Computation," IEEE Trans. Power Syst., vol. 7, no. 2, pp. 629-638, May 1992.
J. Chai and A. Bose, "Bottlenecks in Parallel Algorithms for Power System Stability Analysis," IEEE Trans. Power Syst., vol. 8, no. 1, pp. 9-15, Feb. 1993.
L. Yalou, Z. Xiaoxin, W. Zhongxi, and G. Jian, "Parallel Algorithms for Transient Stability Simulation on PC Cluster," in Proc. PowerCon, 2002, vol. 3, pp. 1592-1596.
K. Chan, R.C. Dai, and C.H. Cheung, "A Coarse Grain Parallel Solution Method for Solving Large Set of Power Systems Network Equations," in Proc. PowerCon, 2002, vol. 4, pp. 2640-2644.
J.S. Chai, N. Zhu, A. Bose, and D. Tylavsky, "Parallel Newton Type Methods for Power System Stability Analysis Using Local and Shared Memory Multiprocessors," IEEE Trans. Power Syst., vol. 6, no. 4, pp. 1539-1545, Nov. 1991.
V. Jalili-Marandi, Z. Zhou, and V. Dinavahi, "Large-Scale Transient Stability Simulation of Electrical Power Systems on Parallel GPUs," IEEE Trans. Parallel Distrib. Syst., vol. 23, no. 7, pp. 1255-1266, July 2012.
M. Ten Bruggencate and S. Chalasani, "Parallel Implementations of the Power System Transient Stability Problem on Clusters of Workstations," in Proc. IEEE/ACM SC, 1995, p. 34.
D. Fang and Y. Xiaodong, "A New Method for Fast Dynamic Simulation of Power Systems," IEEE Trans. Power Syst., vol. 21, no. 2, pp. 619-628, May 2006.
J. Shu, W. Xue, and W. Zheng, "A Parallel Transient Stability Simulation for Power Systems," IEEE Trans. Power Syst., vol. 20, no. 4, pp. 1709-1717, Nov. 2005.
V. Jalili-Marandi and V. Dinavahi, "SIMD-Based Large-Scale Transient Stability Simulation on the Graphics Processing Unit," IEEE Trans. Power Syst., vol. 25, no. 3, pp. 1589-1599, Aug. 2010.
X. Zhang, R.H. Byrd, and R.B. Schnabel, "Parallel Methods for Solving Nonlinear Block Bordered Systems of Equations," SIAM J. Sci. Statist. Comput., vol. 13, no. 4, pp. 841-859, 1992.
HSL, 2011A Collection of Fortran Codes for Large Scale Scientific Computation. [Online]. Available: http://www.hsl.rl.ac.uk.
D.P. Koester, S. Ranka, and G. Fox, "A Parallel Gauss-Seidel Algorithm for Sparse Power System Matrices," Proc. Supercomputing, pp. 184-193, Nov. 1994.
B. Chapman, G. Jost, and R. Van Der Pas, Using OpenMP: Portable Shared Memory Parallel Programming. Cambridge, MA, USA: MIT Press, 2007.
D. Gove, Multicore Application Programming: For Windows, Linux, Oracle Solaris. Reading, MA, USA: Addison-Wesley, 2010.
J. Giri, D. Sun, and R. Avila-Rosales, "Wanted: A More Intelligent Grid," IEEE Power Energy Mag., vol. 7, no. 2, pp. 34-40, Mar./Apr. 2009.